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132614914712 = 237174326912043
BaseRepresentation
bin111101110000001110…
…1110000001010011000
3110200022011100200020212
41323200131300022120
54133043404232322
6140531125510252
712403215114260
oct1734035601230
9420264320225
10132614914712
1151272731275
1221850572388
13c67586a347
1465c08b07a0
1536b26dd0e2
hex1ee0770298

132614914712 has 128 divisors (see below), whose sum is σ = 309058675200. Its totient is φ = 52049184768.

The previous prime is 132614914709. The next prime is 132614914717. The reversal of 132614914712 is 217419416231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132614914712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132614914717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11005763 + ... + 11017805.

It is an arithmetic number, because the mean of its divisors is an integer number (2414520900).

Almost surely, 2132614914712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132614914712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154529337600).

132614914712 is an abundant number, since it is smaller than the sum of its proper divisors (176443760488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132614914712 is a wasteful number, since it uses less digits than its factorization.

132614914712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12385 (or 12381 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The spelling of 132614914712 in words is "one hundred thirty-two billion, six hundred fourteen million, nine hundred fourteen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 43 56 68 86 119 136 172 238 269 301 344 476 538 602 731 952 1076 1204 1462 1883 2152 2408 2924 3766 4573 5117 5848 7532 9146 10234 11567 12043 15064 18292 20468 23134 24086 32011 36584 40936 46268 48172 64022 80969 84301 92536 96344 128044 161938 168602 196639 204731 256088 323876 337204 393278 409462 517849 647752 674408 786556 818924 1035698 1376473 1433117 1573112 1637848 2071396 2752946 2866234 3239567 3624943 4142792 5505892 5732468 6479134 7249886 8803433 11011784 11464936 12958268 14499772 17606866 22676969 25916536 28999544 35213732 45353938 55072639 61624031 70427464 90707876 110145278 123248062 139301381 181415752 220290556 246496124 278602762 385508473 440581112 492992248 557205524 771016946 975109667 1114411048 1542033892 1950219334 2368123477 3084067784 3900438668 4736246954 7800877336 9472493908 16576864339 18944987816 33153728678 66307457356 132614914712